{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import igraph as ig\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "\n",
    "# 将配置保存到~/.igraphrc\n",
    "ig.config[\"plotting.backend\"] = \"matplotlib\"\n",
    "ig.config[\"plotting.layout\"] = \"fruchterman_reingold\"\n",
    "ig.config[\"plotting.palette\"] = \"rainbow\"\n",
    "# 此代码运行一次后以后均会默认使用此配置\n",
    "ig.config.save()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 为betweenness节点计算0-200个颜色, \n",
    "random.seed(1)\n",
    "g = ig.Graph.Barabasi(n=100, m=1)\n",
    "betweenness = g.betweenness()\n",
    "colors = [int(i * 200 / max(betweenness)) for i in betweenness]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ig.plot(g, vertex_color=colors, vertex_size=1, edge_width=0.3)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.10.6 ('py310')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.6"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "49ec5068d4d6d3736c39d3918a16f1ca551a23384109b69898c01c2015d1370c"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
